Specific interface area and self-stirring in a two-liquid system experiencing intense interfacial boiling below the bulk boiling temperatures of both components

TL;DR

This paper develops a theoretical model to assess the specific interface area and self-stirring dynamics in a two-liquid system undergoing interfacial boiling below the bulk boiling points, based on energy and transfer laws.

Contribution

It introduces a new theoretical approach linking interface area with system state characteristics and derives equations for self-cooling dynamics without external heat input.

Findings

Derived relations between interface area and system parameters

Formulated equations describing self-cooling dynamics

Provided a framework for modeling interfacial boiling processes

Abstract

We present an approach to theoretical assessment of the mean specific interface area $(\delta{S}/\delta{V})$ for a well-stirred system of two immiscible liquids experiencing interfacial boiling. The assessment is based on the balance of transformations of mechanical energy and the laws of the momentum and heat transfer in the turbulent boundary layer. The theory yields relations between the specific interface area and the characteristics of the system state. In particular, this allows us to derive the equations of self-cooling dynamics of the system in the absence of external heat supply. The results provide possibility for constructing a self-contained mathematical description of the process of interfacial boiling. In this study, we assume the volume fractions of two components to be similar as well as the values of their kinematic viscosity and molecular heat diffusivity.